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Finding the Fourth Proportional to 3,027.75, 4,178.07 and 1,683.21

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Solution

The fourth proportional to 3,027.75, 4,178.07 and 1,683.21 is: 2,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,027.75 : 4,178.07 = 1,683.21 : x
  2. Step 2: Convert to fraction form
    3,027.75/4,178.07 = 1,683.21/x
  3. Step 3: Cross multiply
    3,027.75x = 4,178.07 × 1,683.21
  4. Step 4: Simplify right side
    3,027.75x = 7,032,569.20
  5. Step 5: Solve for x
    x = 7,032,569.20/3,027.75
  6. Step 6: Final answer
    x = 2,322.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.